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Type the missing number.\newlineHint: Use properties of multiplication.\newline558⋅(314+633)=558⋅____+558⋅633558 \cdot (314 + 633) = 558 \cdot \_\_\_\_ + 558 \cdot 633

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Q. Type the missing number.\newlineHint: Use properties of multiplication.\newline558⋅(314+633)=558⋅____+558⋅633558 \cdot (314 + 633) = 558 \cdot \_\_\_\_ + 558 \cdot 633
  1. Apply Distributive Property: Step 11: Apply the distributive property to simplify the left side of the equation.\newlineCalculation: 558⋅(314+633)=558⋅947558 \cdot (314 + 633) = 558 \cdot 947
  2. Calculate Left Side: Step 22: Calculate the simplified multiplication on the left side.\newlineCalculation: 558×947=528,366558 \times 947 = 528,366
  3. Simplify Right Side: Step 33: Simplify the right side of the equation using the distributive property.\newlineCalculation: 558⋅314+558⋅633558 \cdot 314 + 558 \cdot 633
  4. Calculate Right Side Terms: Step 44: Calculate each term on the right side.\newlineCalculation: 558⋅314=175,212558 \cdot 314 = 175,212 and 558⋅633=353,154558 \cdot 633 = 353,154
  5. Add Calculations: Step 55: Add the results of the calculations from Step 44.\newlineCalculation: 175,212+353,154=528,366175,212 + 353,154 = 528,366

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